The formula \sin(A + B) = \sin(A)\cos(B) + \cos(A)\sin(B) is known as the sine addition formula. It expresses the sine of the sum of two angles, A and B , in terms of the sines and cosines of those angles. This relationship is fundamental in trigonometry and is useful for simplifying expressions involving angles. This formula can be applied in various fields, including physics, engineering, and computer graphics, where angle calculations are essential. Understanding this relationship helps in solving problems related to wave functions, oscillations, and rotations, making it a valuable tool in mathematics and science.